Finding the Third Proportional to 194,643 and 404,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,643 : 404,959.50 = 404,959.50 : x
2. Step 2: Convert to fraction form
   194,643/404,959.50 = 404,959.50/x
3. Step 3: Cross multiply
   194,643x = 404,959.50 × 404,959.50
4. Step 4: Simplify right side
   194,643x = 163,992,196,640.25
5. Step 5: Solve for x
   x = 163,992,196,640.25/194,643
6. Step 6: Final answer
   x = 842,528.10